Cremona's table of elliptic curves

3480 = 2³ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 29-	Signs for the Atkin-Lehner involutions
Class	3480i	Isogeny class
Conductor	3480	Conductor
∏ cp	228	Product of Tamagawa factors cp
deg	27360	Modular degree for the optimal curve
Δ	-36283385495888640 = -1 · 28 · 319 · 5 · 293	Discriminant
Eigenvalues	2+ 3- 5+ -2  3 -6  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-213921,-39241341]	[a1,a2,a3,a4,a6]
Generators	[567:4698:1]	Generators of the group modulo torsion
j	-4229081330325627904/141731974593315	j-invariant
L	3.7398998567257	L(r)(E,1)/r!
Ω	0.11077728163954	Real period
R	0.14807250461712	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6960g1 27840y1 10440y1 17400bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480i1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	+	-2	3	-6	4	-2	1	-	0	-3	-5	-1	2	1	-12	-12	2	-6	7	-8	-9	-10	5

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Quadratic twists for elliptic curve 3480i1

-4	8	-3	5	29
6960g1	27840y1	10440y1	17400bd1	100920z1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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